A transformation of a figure called the preimage changes the size, shape, or position of the figure to a new figure called the image.
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The result of first translating and then reflecting over the 𝑥- or 𝑦-axis may not result in the same transformation of reflecting over the 𝑥- or 𝑦-axis and then translating.
Sketch the image of a dilation of a right triangle or a rectangle limited to a scale factor of 1/4, 1/2, 2, 3, or 4. The center of the dilation will be the origin. (a)
Translations and reflections maintain congruence between the preimage and image but change location. Dilations by a scale factor other than 1 produce an image that is not congruent to the preimage but is similar. Reflections change the orientation of the image.
Given a preimage in the coordinate plane, identify the coordinate of the image of a polygon that has been translated vertically, horizontally, or a combination of both. (a)
A reflection of a boat in water shows an image of the boat flipped upside down with the water line being the line of reflection;